1. Problem 4-05 (Algorithmic) In American football, touchdowns are worth 6 points. After scoring a touchdown, the scoring team may subsequently attempt to score 1 or 2 additional points. Going for 1 point is virtually an assured success, while going for 2 points is successful only with probability p. Consider the following game situation. The Temple Wildcats are losing by 14 points to the Killeen Tigers near the end of regulation time. The only way for Temple to win (or tie) this game is to score two touchdowns while not allowing Killeen to score again. The Temple coach must decide whether to attempt a 1-point or 2-point conversion after each touchdown. If the score is tied at the end of regulation time, the game goes into overtime. The Temple coach believes that there is a 46% chance that Temple will win if the game goes into overtime. The probability of successfully converting a 1-point conversion is 1.0. The probability of successfully converting a 2-point conversion is p. Assume Temple will score two touchdowns and Killeen will not score. Create a decision tree for the decision of whether Temple's coach should go for a 1-point conversion or a 2-point conversion after each touchdown. The terminal nodes in the decision tree should be either WIN or LOSE for Temple. Success Col Win or Lose Win OT (owl Win or Lose Fall (1-0) Win or Lose Go for do for Win or Lose LOSS OF (5IN) Wh OT MINI Win or Lose Lose or (51%) Win or Lose Win or Lose Go for 1 Win or Lose Success Co] Win or Lose Go for ] Fall (1 0) Win or Lose Win OT (404) Win or Lose Go for 1 Lots Of (SON) Win or Lose